290728888320 has 576 divisors, whose sum is σ = 1042424510400. Its totient is φ = 69060526080.

The previous prime is 290728888301. The next prime is 290728888339. The reversal of 290728888320 is 23888827092.

It is an interprime number because it is at equal distance from previous prime (290728888301) and next prime (290728888339).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150557755 + ... + 150559685.

It is an arithmetic number, because the mean of its divisors is an integer number (1809764775).

Almost surely, 2^290728888320 is an apocalyptic number.

290728888320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290728888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521212255200).

290728888320 is an abundant number, since it is smaller than the sum of its proper divisors (751695622080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

290728888320 is a wasteful number, since it uses less digits than its factorization.

290728888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 290728888320 in words is "two hundred ninety billion, seven hundred twenty-eight million, eight hundred eighty-eight thousand, three hundred twenty".